4042563552 has 288 divisors, whose sum is σ = 12883564512. Its totient is φ = 1242169344.

The previous prime is 4042563521. The next prime is 4042563583. The reversal of 4042563552 is 2553652404.

4042563552 is a `hidden beast` number, since 4 + 0 + 42 + 5 + 63 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (4042563521) and next prime (4042563583).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7005888 + ... + 7006464.

It is an arithmetic number, because the mean of its divisors is an integer number (44734599).

Almost surely, 2^4042563552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042563552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441782256).

4042563552 is an abundant number, since it is smaller than the sum of its proper divisors (8841000960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4042563552 is a wasteful number, since it uses less digits than its factorization.

4042563552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4042563552 is about 63581.1572087203. The cubic root of 4042563552 is about 1593.0116504622.

The spelling of 4042563552 in words is "four billion, forty-two million, five hundred sixty-three thousand, five hundred fifty-two".